Put two dots above beta

Question

I try to put two dots above a beta ancient greek character like this
"β
But a beta symbol is too tall, so the dots are printed on the beta symbol. How can I move dots up?
The dots should go above the symbol.
Using math formula I can realized this something like this
  documentclass{article}
    begin{document}
    [stackrel{..}{beta}]
    end{document}

But, how can I got it without using math formula?
My setup is
documentclass[openany]{book}
usepackage{fontspec}
usepackage{polyglossia}
usepackage{array}
usepackage{makecell}
usepackage{multirow}
usepackage{tabularx}
usepackage{titlesec} 
usepackage{rotating}
usepackage{fancyhdr}
usepackage{lastpage}
usepackage{float}

setdefaultlanguage{russian}
setotherlanguage[variant=ancient]{greek}
setmainfont[Ligatures=TeX]{Times New Roman}
newfontfamilygreekfont{New Athena Unicode}
newfontfamilycyrillicfont{Times New Roman}[Script=Cyrillic]

egreg · Accepted Answer

It mostly depends on how you input beta. Here's a possibility.
documentclass{article}
usepackage{textgreek}

newcommand{betaumlaut}{%
  {fontencoding{LGR}selectfontaccdialytika{b}}%
}

begin{document}

betaumlaut

end{document}

If you use fontspec and Unicode fonts with XeLaTeX or LuaLaTeX, you can (provided the Greek font is good) do
documentclass{article}
usepackage{fontspec}

newfontfamily{greekfont}{Gentium}

begin{document}

{greekfont"β}

end{document}

Unfortunately, New Athena Unicode is not among the “good” fonts, because if I try the above code with this font I get

For the particular font you can do
documentclass{article}
usepackage{fontspec}

newfontfamily{greekfont}{newathu}[
  Extension=.ttf,
  UprightFont=*5_7,
  BoldFont=*Bold5_7,
  ItalicFont=*Italic5_7,
  BoldItalicFont=*BoldItalic5_7,
]

newcommand{manualdialytika}[1]{%
  leavevmodevbox{offinterlineskip
    ialign{hfil##hfilcrsymbol{"A8}crnoalign{kern-1ex}#1cr}%
  }%
}

begin{document}

{greekfontmanualdialytika{β}}

end{document}

(How you load New Athena Unicode depends on whether you installed it as a system font, which I chose not to do.)

Put two dots above beta

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